Challenge Quizzes

Differential Equations - Euler's Method - Step size of 1

Consider a function f(x)f(x)f(x) such that f(1)=4 f(1) = 4f(1)=4 and f′(x)=x3 f'(x) = x^3 f′(x)=x3. Using Euler's method with step size 1,1,1, what is the resulting approximation of f(9)−f(5)?f(9)-f(5)?f(9)−f(5)?